Finding the Third Proportional to 997.31 and 2,275.59

Step by Step Solution

1. Step 1: Write the proportion equation
   997.31 : 2,275.59 = 2,275.59 : x
2. Step 2: Convert to fraction form
   997.31/2,275.59 = 2,275.59/x
3. Step 3: Cross multiply
   997.31x = 2,275.59 × 2,275.59
4. Step 4: Simplify right side
   997.31x = 5,178,326.92
5. Step 5: Solve for x
   x = 5,178,326.92/997.31
6. Step 6: Final answer
   x = 5,192.28